Part I. (81 points) Access data file "PartI.sav"

A researcher who is interested in the factors that influence one’s life satisfaction in general collects data from 50 individuals on the following 13 variables:

• age: Age (in years)

• gender: Gender (1 = Male, 2 = Female)

• married: Marriage status (1 = Not married, 2 = Married)

• income: Income level (in thousands)

• physical: Score on physical health inventory (higher score indicates greater physical well-being)

• child: Number of children in the household

• lifesat: Score on life satisfaction inventory (higher score indicates greater life satisfaction)

• ses: Socioeconomic status

• smoke: Whether an individual smokes (1 = Not Smoke, 2 = Smoke)

• spirit: Score on spiritual inventory (higher score indicates greater spiritual well-being)

• edu: Higher education level (0 = did not finish high school, 1 = high school or GED, 2 = college graduate, 3 = advanced graduate degree)

• job: Score on job satisfaction inventory (higher score indicates greater job satisfaction)

• psych: Score on psychological health inventory (higher score indicates greater psychological well-being)

Using 13 variables included in Part I.sav, answer item I – item V below. Note. Do not directly copy and paste all the SPSS outputs. Run the analyses in SPSS and provide the ONLY relevant output(s) for each question in the text of your response.

I. (27 points) A researcher hypothesizes that the overall life satisfaction depends upon one’s education level (where "did not finish high school" is the reference group), after controlling for other demographic background variables including age, income level, and socioeconomic status. Run the appropriate regression model to answer his research question. Show me the syntax.

1. (6 points) Comment on the statistical significances of all regression coefficients. Provide both the numbers (i.e., coefficient estimate, 95% confidence intervals for this estimate "CI95%", 99% confidence intervals for this estimate "CI99%", t-value and df, and p-value) and provide a brief interpretation of all regression estimates using the most appropriate slope estimates (b or β). Also, comment on the size of effects according to Keith’s guidelines.
2. (6 points) Provide and interpret both the squared partial correlations and the squared semi-partial correlations of all the variables in the regression model.
3. (6 points) Comment on the overall model quality. Use all three indicators we learned in class. Provide both the numbers and a brief interpretation.
4. (5 points) Check two assumptions for residuals, and provide a brief interpretation.
5. (4 points) Create (and paste below) the plot demonstrating the regression model examined.

II. (18 points) When running the regression model posited in item I, the researcher found that no mean difference on overall life satisfaction exists between individuals who did not finish high school and individuals with a high school degree. Therefore, the researcher decides to combine them together, and treat it as the reference group. Then, the researcher hypothesizes the effect of income on life satisfaction might differ by education level, after controlling for all the variables used in item I. Show me the syntax.

1. (6 points) Comment on the statistical significances of all regression coefficients in your regression model model, and provide a brief interpretation of all regression coefficients.
2. (6 points) Comment on the overall model quality. Use all three indicators we learned in class. Provide both the numbers and a brief interpretation.
3. (6 points) Create (and paste below) a scatterplot that depicts the differential effect of income on one’s overall life satisfaction by education level (Note. education level is categorized into three groups), and provide a brief interpretation of what you found in the scatterplot.

III. (9 points) The researcher wants to know whether one’s psychological, physiological, and spiritual well-beings explain the significant amount of additional variance in life satisfaction, after controlling for all the variables tested in item II. Show me the syntax.

1. (5 points) Provide both the relevant numbers and a brief interpretation to answer whether one’s psychological, physiological, and spiritual well-beings explain the significant amount of additional variance in life satisfaction, after controlling for all the variables tested in item II.
2. (2 points) Comment on whether any variable suffers from the multicollinearity issue.
3. (2 points) Create (and paste below) the plot demonstrating the regression model examined.

IV. (9 points) Using all 13 variables collected in the dataset, the researcher aims to propose the regression model that explains the largest total variance in one’s overall life satisfaction. Show me the syntax.

1. (6 points) Comment on the statistical significances of all regression coefficients in your proposed model, and provide a brief interpretation of each regression coefficient.
2. (3 points) Comment on all overall model quality. Use all three indicators we learned in class. Provide both the numbers and a brief interpretation.

V. (18 points) A researcher is interested in testing the hypothesis that the effect of job satisfaction on overall life satisfaction might be different depending on one’s spiritual well-being.

1. (6 points) Test the statistical significance of the effect of the interaction term, after controlling for the relevant non-interaction term(s), using hierarchical MR. Show me your syntax. Did the addition of the interaction term explain a significant amount of additional variance? Provide both the relevant statistical information and a brief interpretation.
2. (6 points) Create three groups based on the scores on a moderator: 1 for group whose score on a moderator is 1 standard deviation below its mean, 2 for group whose score on a moderator is its mean, and 3 for group whose score on a moderator is 1 standard deviation above its mean. Identify an estimated regression equation for each group.
3. (6 points) Make a plot (and paste below) that shows the significant interaction effect. Discuss what you found as thorough as possible.

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